The document provides documentation for the Tess program, which helps design origami tessellations. Key points include:
- Version 1.4 of Tess includes many new tilings and the ability to stretch tilings and print to PDF.
- Tess uses algorithms developed by Paulo Barreto and Chris Palmer to generate crease patterns from base tilings using scaling, rotation, and two parameters - pleat angle and pleat ratio.
- The graphical user interface allows selecting tilings, editing them, generating crease patterns, adjusting parameters, and viewing folded and light patterns of the tessellations.
The document provides documentation for the Tess program, which helps design origami tessellations. Key points include:
- Version 1.4 of Tess includes many new tilings and the ability to stretch tilings and print to PDF.
- Tess uses algorithms developed by Paulo Barreto and Chris Palmer to generate crease patterns from base tilings using scaling, rotation, and two parameters - pleat angle and pleat ratio.
- The graphical user interface allows selecting tilings, editing them, generating crease patterns, adjusting parameters, and viewing folded and light patterns of the tessellations.
The document provides documentation for the Tess program, which helps design origami tessellations. Key points include:
- Version 1.4 of Tess includes many new tilings and the ability to stretch tilings and print to PDF.
- Tess uses algorithms developed by Paulo Barreto and Chris Palmer to generate crease patterns from base tilings using scaling, rotation, and two parameters - pleat angle and pleat ratio.
- The graphical user interface allows selecting tilings, editing them, generating crease patterns, adjusting parameters, and viewing folded and light patterns of the tessellations.
The document provides documentation for the Tess program, which helps design origami tessellations. Key points include:
- Version 1.4 of Tess includes many new tilings and the ability to stretch tilings and print to PDF.
- Tess uses algorithms developed by Paulo Barreto and Chris Palmer to generate crease patterns from base tilings using scaling, rotation, and two parameters - pleat angle and pleat ratio.
- The graphical user interface allows selecting tilings, editing them, generating crease patterns, adjusting parameters, and viewing folded and light patterns of the tessellations.
Introduction The Tess program was written to help design Origami Tessellations. An Origami Tessellation is made by taking a simple unit crease pattern and copying it many times across the paper. This style of origami was developed in the 1970s principally by Shuzo Fujimoto and Yoshide Momotani. In more recent years this style has been developed further by Paulo Barreto and Chris Palmer. In the last year there has been a new burst of activity with a large number of folders creating a huge number of new styles of tessellation folding. Notably Joel Cooper has developed tessellations to new heights. An example crease pattern for an Origami Tessellation is shown below. Working out these crease patterns is a hard job to do. However Tess helps you design these patterns rapidly on your computer and print out the crease pattern to fold at your leisure.
An extra feature of the Tess programs are that they also allow you to see what the crease pattern will look like when it is folded up as shown below.
Tess Documentation. By Alex Bateman 2007
Making Origami Tessellations There are many different algorithms (or recipes) for making crease patterns for Origami Tessellations. Paulo Barreto and Chris Palmer developed the one that is used in the Tess programs. This algorithm is presented in outline below. Given a starting tiling there are three steps to making an Origami Tessellation crease pattern: (1) Generate tiling, the filled dots are the origin of scaling and rotation (2) Scale polygons of tiling and generate a new baby polygon, shown shaded (3) Rotate polygons to generate final pattern.
Parameters used to make variations
As you can see from the above method to make tessellations you have to rotate and scale the polygons. Doing this by different amounts will give rise to completely new Origami Tessellations. In the Tess programs we use two parameters to specify these variations. One is called the pleat angle and the second is called the pleat ratio.
The pleat ratio is the ratio of the lengths of the edges of the two polygons with double-headed arrows. The pleat angle is the angle between these two edges.
Tess Documentation. By Alex Bateman 2007
Generally if you keep the pleat angle less than 30 degrees then the tessellations should be foldable. For larger values this may not always be true.
Installing Tess the quick way
For PC users running the Tess is simple. Simply download the Tess.exe application (kindly prepared by Eric Gjerde) and double click on it to start the Tess program. If you do not have a PC then installation is much more tedious.
Installing Tess the slow way
Many people around the world have successfully installed the Tess software on their computers. This includes PCs, Linux and Unix operating systems. If the following instructions make no sense to you whatever then you should find someone you know with some computer expertise to help you as I dont have time to help. 1. To install Tess you will need to have the perl language installed! You can test if you have it by typing: which perl
If perl cannot be found you need to install it.
2. Download tess tarfile, see above. 3. untar file using command: tar -xvf tess.tar
4. You should now be able to run the tess program. Test using the following command: ./command.pl -help
If you don't get the help message, you may need to change the first line of the program to point at your version of perl. Or perhaps the file is not executable. Try typing: chmod +x command.pl
Try executing the program with the following
perl -e command.pl -help
If that works you are ready to run the command line version of the program. Here are a few example cases: ./command.pl -geometry 1 -angle 22.5 -ratio 2 -output 1.ps ./command.pl -geometry 5 -angle 22.5 -ratio 3 -output 2.ps
5. To view the output postscript files, you may need to install a viewer program such as ghostscript. 6. (Optional) If you have PerlTK installed you can use the GUI version of the program. To run that type: ./gui.pl
Using command.pl - The Command Line Interface
The command line interface to the program gives you access to most of the functionality of Tess. To run the program you have to provide a few arguments. The absolute minimum is ./command.pl -geometry 1 -angle 20 -ratio 1
This command will make a postscript file called foo.ps with the crease pattern for an origami tessellation. The geometry argument is a number that specifies a particular geometry. These can be found by typing ./command.pl help
The nomenclature used is explained in Grunbaum and Shepherds excellent book
Patterns and Tilings (ISBN:0-7167-1998-3). The angle argument describes the pleat angle (see above).The ratio argument describes the pleat ratio parameter (see above).
Tess Documentation. By Alex Bateman 2007
Using Tess.exe or gui.pl - The Graphical User Interface Probably the best way to use Tess is with the Graphical User Interface (GUI). This allows you access to the widest range of functions. As you can see from the screenshot below you can even view what the tessellations look like when they are folded up.
Essentially to use the GUI you need to follow these steps:
(1) Select a tiling. Select one from the geometry menu (2) Edit the tiling if you want to (best not to at first). See section below for help on this. (3) Hit the Origamify button to make the tiling into a crease pattern (4) Play around with the parameters until you get a crease pattern you are happy with. (5) Print out pattern to a postscript file. (6) Clear canvas, using option in File menu before starting to make your next tessellation.
Editing a tiling Really the only tricky part of Tess is editing of tilings. So this section guides you through doing this. Once you have selected a tiling from the geometry menu you can make changes to that tiling. This expands the number of variations you can make hugely. In the following example we have selected the 4.8.8 geometry. Now select Action found in the Select menu. This will give you the following Action selection window.
Tess Documentation. By Alex Bateman 2007
The two editing actions allowed are decompose and crystal. We will select decompose. Now click on one of the tiles in the canvas and see what happens.
See how the tile has been decomposed into 8 triangles. Alternatively we could have selected the crystal button. The box in the right allows you to edit the parameters that the crystal action uses. The default is 0.5 but you could also try 0.4,0.4,0.4 (this comma separated list should not have any spaces!). The results of both these choices are shown below.
You can take any of these tilings and press the Origamify button to make a crease pattern.
Tess Documentation. By Alex Bateman 2007
Stretching a Tiling To create more varied tessellation designs I have tried to invent new ways to transform existing tilings. One way is to stretch the tiling. When combined with rotations this can create a huge number of variations, including making Miura-like map folds. To stretch a tiling first select the tiling and then choose the Exact options from the File menu.
Then in the tiling stretch box select a number which is the stretch factor and hit return. A number between about 0.5 and 2 will work best. But do experiment.
Show Centres An important part of making an Origami Tessellation are the definition of the centres of rotation. You can view these by switching on the Show Centres option. See below for an example of this.
Tess Documentation. By Alex Bateman 2007
Fill Patterns You will also notice that you can select Show Fill. This colours in each of the original tiles in a variety of colours based on what creases they have. The baby tiles that are generated in the Origamify step are coloured black. The pleats between these polygons are white. See below for an example showing the fill colouring of an Origami tessellation.
These colourings are not really very useful to you. They can be useful when working out the correct crease assignment for a newly designed geometry.
Light Patterns In Tess you can see the folded pattern of a tessellation simply by making the pleat angle negative. Once you have a folded pattern you can also see what the tessellation will look like when held up to the light. This is called the light pattern. Below is an
Tess Documentation. By Alex Bateman 2007
example of what happens when you select the light pattern option (using the tower geometry).
Some Hints on Folding Origami Tessellations
To fold the Origami Tessellation crease patterns that Tess produces successfully I suggest the following method: 1. Photocopy the pattern onto a transparent or thin paper. I use tracing paper (UK) / vellum (US) of about 70gsm. 2. Fold the pattern on a flat surface. 3. Fold ALL the thin lines as valley folds. Then turn the paper over and fold ALL the thick lines as valley folds (These thick lines might be visible through nontransparent paper). 4. Gently include all the creases you have made, this makes parts of the model twist. 5. Be patient. 6. Flatten the model completely and hold up to the light to see the final pattern. Also you should not be too ambitious. Start out by folding just small parts of the tessellations, use the scale parameter to expand a region and only fold that. Or use the simple twist geometry to produce just a single tile of an origami tessellation. Then when you have gained confidence and skill you can move onto harder tessellations.
Finally Best of luck with making your own Origami Tessellations! I provide this software completely free of charge. However, I also dont provide any support for this package at all. If you have trouble with installing the software I can only suggest that you ask a friend who knows about these things. If you have any constructive suggestions for
Tess Documentation. By Alex Bateman 2007
improvements to Tess, or you find any serious bugs, or feel you could contribute to the codebase then please contact me via e-mail at agb@sanger.ac.uk.
